56019600 has 600 divisors, whose sum is σ = 260469440. Its totient is φ = 11197440.

The previous prime is 56019599. The next prime is 56019631. The reversal of 56019600 is 691065.

56019600 is a `hidden beast` number, since 56 + 0 + 1 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2948391 + ... + 2948409.

Almost surely, 2^56019600 is an apocalyptic number.

56019600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56019600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130234720).

56019600 is an abundant number, since it is smaller than the sum of its proper divisors (204449840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56019600 is a wasteful number, since it uses less digits than its factorization.

56019600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 56019600 is about 7484.6242390650. The cubic root of 56019600 is about 382.6308664090.

The spelling of 56019600 in words is "fifty-six million, nineteen thousand, six hundred".